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4031311221 = 337139173887
BaseRepresentation
bin1111000001001000…
…1110110101110101
3101101221121211101000
43300102032311311
531224003424341
61504004553513
7201620402640
oct36022166565
911357554330
104031311221
11178962a873
129460b2899
134c3265472
142a3584a57
15188dac8b6
hexf048ed75

4031311221 has 64 divisors (see below), whose sum is σ = 6922137600. Its totient is φ = 2271250368.

The previous prime is 4031311217. The next prime is 4031311237. The reversal of 4031311221 is 1221131304.

It is not a de Polignac number, because 4031311221 - 22 = 4031311217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4031311194 and 4031311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4031311211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4544440 + ... + 4545326.

It is an arithmetic number, because the mean of its divisors is an integer number (108158400).

Almost surely, 24031311221 is an apocalyptic number.

It is an amenable number.

4031311221 is a deficient number, since it is larger than the sum of its proper divisors (2890826379).

4031311221 is a wasteful number, since it uses less digits than its factorization.

4031311221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4031311221 is about 63492.6076090752. The cubic root of 4031311221 is about 1591.5322466797.

Adding to 4031311221 its reverse (1221131304), we get a palindrome (5252442525).

The spelling of 4031311221 in words is "four billion, thirty-one million, three hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 139 173 189 417 519 887 973 1211 1251 1557 2661 2919 3633 3753 4671 6209 7983 8757 10899 18627 23949 24047 26271 32697 55881 72141 123293 153451 167643 168329 216423 369879 460353 504987 649269 863051 1074157 1109637 1381059 1514961 2589153 3222471 3328911 4143177 4544883 7767459 9667413 21329689 23302377 29002239 63989067 149307823 191967201 447923469 575901603 1343770407 4031311221